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Finding the Fourth Proportional to 22,333.32, 33,502.62 and 9,848.04

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Solution

The fourth proportional to 22,333.32, 33,502.62 and 9,848.04 is: 14,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.32 : 33,502.62 = 9,848.04 : x
  2. Step 2: Convert to fraction form
    22,333.32/33,502.62 = 9,848.04/x
  3. Step 3: Cross multiply
    22,333.32x = 33,502.62 × 9,848.04
  4. Step 4: Simplify right side
    22,333.32x = 329,935,141.86
  5. Step 5: Solve for x
    x = 329,935,141.86/22,333.32
  6. Step 6: Final answer
    x = 14,773.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.